论文标题

晶格模块中的伪主要,经典素数和伪古典主要元素

Pseudo-Primary, Classical Prime and Pseudo-Classical Primary Elements in Lattice Modules

论文作者

Bingi, A. V., Manjarekar, C. S.

论文摘要

在本文中,我们介绍了伪主要元素和伪古典元素的概念 $ L $ -MODULE $ M $并获得其特征。该论文的目的是在m $中显示$ rad(n)\,如果$ n $是伪主要或伪经典的主要原则,则$ n \ in m $的根本是主要的。此外,我们研究了$ L $ -MODULE $ M $的经典质数元素,以获取其许多特征及其属性。

In this paper, we introduce the notion of pseudo-primary elements and pseudo-classical primary elements in an $L$-module $M$ and obtain their characterizations. The aim of the paper is to show $rad(N)\in M$, the radical of $N\in M$ is prime if $N$ is either pseudo-primary or pseudo-classical primary. Also, we study classical prime elements of an $L$-module $M$ to obtain many of its characterizations and its properties.

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